Let X; be independent Uniform(-9,9) random variables, fori=1,2, ..., 14. Let Y = X1+X2+...+X14 - (b) Find which of the following statements are correct for the moment generating function (mgf) My(t) of Y. I It is equal to 14 times the mgf of Xi, for some integer i between 1 and 14 It is equal to the mgf of any Xi to the power of 1/14, for i=1,...,14 I It is equal to 9 times the mgf of any Xi to the power of 14, for some integer i between 1 and 14 I It is equal to the sum of the mgfs of the Xi, for i=1,...,14 The mgf of 2Y is obtained by replacing in the mgf of Y the value t by 2t. It is equal to the product of the mgfs of the Xi, for i=1...14

Let X; be independent Uniform(-9,9) random variables, fori=1,2, ..., 14. Let Y = X1+X2+...+X14 - (b) Find which of the following statements are correct for the moment generating function (mgf) My(t) of Y. I It is equal to 14 times the mgf of Xi, for some integer i between 1 and 14 It is equal to the mgf of any Xi to the power of 1/14, for i=1,...,14 I It is equal to 9 times the mgf of any Xi to the power of 14, for some integer i between 1 and 14 I It is equal to the sum of the mgfs of the Xi, for i=1,...,14 The mgf of 2Y is obtained by replacing in the mgf of Y the value t by 2t. It is equal to the product of the mgfs of the Xi, for i=1...14

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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